We can combine these three matrices into a single linear system, where the first matrix multiplied by the unknown values of the second matrix equals the third matrix — at which point we can use linear ...

Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

Mathematics of Computation, Vol. 23, No. 108 (Oct., 1969), pp. 787-812 (26 pages) The mathematical and numerical least squares solution of a general linear system of equations is discussed.

The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a ...